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Finding the Fourth Proportional to 49,464.98, 68,265.04 and 27,947.28

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Solution

The fourth proportional to 49,464.98, 68,265.04 and 27,947.28 is: 38,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,464.98 : 68,265.04 = 27,947.28 : x
  2. Step 2: Convert to fraction form
    49,464.98/68,265.04 = 27,947.28/x
  3. Step 3: Cross multiply
    49,464.98x = 68,265.04 × 27,947.28
  4. Step 4: Simplify right side
    49,464.98x = 1,907,822,187.09
  5. Step 5: Solve for x
    x = 1,907,822,187.09/49,464.98
  6. Step 6: Final answer
    x = 38,569.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.